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1. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
2. A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
3. A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
4. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
5. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
6. If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
7. 6 of 5/8 / 5/8 - 1/8 = ?
8. The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
9. A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
10. If (4^{61} + 4^{62} + 4^{63} + 4^{64}) is divisible by ?, then ? =
11. A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
12. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
13. [8 + {(21 * √9/441 - 1 /5 of 60% - 1/5) * 625 + 7} ÷ 4] = ?
14. 184 * 216 - 81 + 119 / 0.7 = ?
15. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
16. If the height of a cone is increased by 100% then its volume is increased by?
17. Amar, Bhavan and Chetan divide an amount of Rs.5600 among themselves in the ratio 3:6:5. If an amount of Rs.400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?
18. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
19. Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
20. 40 is subtracted from 60% of a number, the result is 50. Find the number?
21. A batsman in his 17^{th} innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17^{th}innings?
22. Find the one which does not belong to that group ?
23. Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
24. A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
25. 108 * 107 * 96 = ? (to the nearest hundred)
26. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
27. Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
28. A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
29. Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ?
30. 4500 * ? = 3375
31. 2758 + 20581 - 17889 = ?
32. The area of a base of a cone is 30 cm^{2}. If the height of the cone is 6cm, find its volume?
33. What is the sum of all the composite numbers up to 20?
34. Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
35. If the sum of a number and its square is 182, what is the number?
36. A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
37. A single discount equivalent to the discount series of 20%, 10% and 5% is?
38. 3.5 can be expressed in terms of percentage as?
39. How much 60% of 50 is greater than 40% of 30?
40. A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
41. How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
42. A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
43. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
44. A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
45. The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
46. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
47. What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
48. The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
49. 1: 3 = 1 2/3: x. The value of x is?
50. The radius of a semi circle is 6.3 cm then its perimeter is?